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Finding the Fourth Proportional to 209,908.80, 314,863.20 and 197,661.60

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Solution

The fourth proportional to 209,908.80, 314,863.20 and 197,661.60 is: 296,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,908.80 : 314,863.20 = 197,661.60 : x
  2. Step 2: Convert to fraction form
    209,908.80/314,863.20 = 197,661.60/x
  3. Step 3: Cross multiply
    209,908.80x = 314,863.20 × 197,661.60
  4. Step 4: Simplify right side
    209,908.80x = 62,236,363,893.12
  5. Step 5: Solve for x
    x = 62,236,363,893.12/209,908.80
  6. Step 6: Final answer
    x = 296,492.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.